Question

The graph of the step function g(x) = –⌊x⌋ + 3 is shown. What is the domain of g(x)? {x| x is a real number} {x| x is an integer} {x| –2 ≤ x < 5} {x| –1 ≤ x ≤ 5}

Answer 1

Answer:

its A

Step-by-step explanation:

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Answer 2

Answer:

Option A is correct.

The domain of the g(x) is {x | x is a real number}

Step-by-step explanation:

The graph of the step function: g(x)=$-\left \lfloor x \right \rfloor +3$

Floor function is defined as the function that gives the highest integer less than or equal to x.

The graph of function: g(x)=$-\left \lfloor x \right \rfloor +3$  where x is the independent variable as shown below;

Domain of any function is the complete set of possible values of the independent variable

Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as  {x | x is a real number}.